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Proof step 391 from proof refine-gc (previous step)

gstore2[n1] = groupblock(gndx, lax, 0), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ri0 = ri, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = jro0 ∪ dom gstore2, jro1.keys.inodes?, p_os.keys.inodes?, fi1.inos < pmaxino, p_os < pmaxino, jro1 < jmaxino, ri.inos < jmaxino, inv(gstore2 \ jro0), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore2 -- n1, range ri), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(ri), n1 ∈ gstore2, n1 ∈ gstore1, n1 ∈ jro0 ∪ dom gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2 -- n1, jro0 ++ n1), jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid5 → jvalid0 ⊦ ⟨if ri-cons(ri, fs) then {aubifs_core_gc_copy#(; ri, fs, log); aubifs_core_gc_drop#(ri, log; fs); jvalid := ?} else abort⟩ (ri0 = ri ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro0) \ (dom nodes(gstore2 ↓, jro0) | n1)), #(jro0 ∪ dom gstore2) = 0, jmaxino = 0, pmaxino = 0, jro0 ∪ dom gstore2 = ∅, dups(nx), n1 ∈ nx, ∃ adr. adr.lnum = n1 ∧ adr ∈ ri

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 392:
gstore2[n1] = groupblock(gndx, lax, 0), fi = fi1, fo = p_os.keys, fs = nodes(gstore2 ↓, jro0), log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, ri0 = ri, ro = jro1.keys, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = jro0 ∪ dom gstore2, p_os.keys.inodes?, jro1.keys.inodes?, ri.inos < jmaxino, jro1 < jmaxino, p_os < pmaxino, fi1.inos < pmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), refsize-cons(gstore2 -- n1, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(ri), ri-inj(fi1), n1 ∈ jro0 ∪ dom gstore2, n1 ∈ gstore1, n1 ∈ gstore2, pmaxino ≤ jmaxino, ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid5 → jvalid0, jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid3 ∧ nx ≠ [] → valid-journal-head(nx, gstore2 -- n1, jro0 ++ n1) ⊦ ⟨aubifs_core_gc_copy#(; ri, fs, log); aubifs_core_gc_drop#(ri, log; fs); jvalid := ?⟩ (ri0 = ri ∧ log = abs-log(nx, gstore2 ↓) ∧ fs = nodes(gstore2 ↓, jro0) \ (dom nodes(gstore2 ↓, jro0) | n1)), #(jro0 ∪ dom gstore2) = 0, jmaxino = 0, pmaxino = 0, jro0 ∪ dom gstore2 = ∅, dups(nx), n1 ∈ nx, ∃ adr. adr.lnum = n1 ∧ adr ∈ ri

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ri-cons(ri, fs) → ( ri-cons(ri0, fs0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]])) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ key-cons(key, fs0[ri0[key]]))); (ss)